Atkin-Lehner |
2- 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960cb |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-1324728975360 = -1 · 228 · 3 · 5 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,280,-55440] |
[a1,a2,a3,a4,a6] |
Generators |
[61:430:1] [157:1958:1] |
Generators of the group modulo torsion |
j |
590589719/323420160 |
j-invariant |
L |
9.3000423264844 |
L(r)(E,1)/r! |
Ω |
0.40114667872452 |
Real period |
R |
23.183645334082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870k1 |
Quadratic twists by: -4 |